A free boundary problem of a predator–prey model with higher dimension and heterogeneous environment
By Jingfu Zhao, Mingxin Wang. 2014
118 citations recorded by the source corpus.
Subfields: Applied Mathematics, Genetics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/732c0c863940901d6e5ce34a559fac76f9dae04e
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Citations in the corpus
- Invasion by an inferior or superior competitor: A diffusive competition model with a free boundary in a heterogeneous environment (2015, background): “Since its proof is standard, we omit it here and the reader can refer to [9] or [24] for a similar proof.”
- Semi-wave and spreading speed for the diffusive competition model with a free boundary (2015, background): “free boundaries have been studied, and [21, 22, 26] have considered two species predatorprey models with free boundaries.”
- Existence and uniqueness of solutions of free boundary problems in heterogeneous environments (2019, background): “Recent years, free boundary problems coming from ecology in the spatial heterogeneous environments had been studied by many authors, see [1]-[3], [5]-[7], [9, 10, 12], [14]-[17], for example.”
- Free Boundary Problems for a Lotka–Volterra Competition System (2014, background): “We adopt the following functions constructed by Wang [22]: σ(t) = s0(1 + δ − δ 2 e−γt), t ≥ 0; Z(y) = sin(πy), 0 ≤ y ≤ 1, w(t, x) = Ke−γtZ(x/σ(t)), t ≥ 0, 0 ≤ x ≤ σ(t).”
- Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients (2015, methodology): “1 in [32], so we leave out the details.”
- On some Free Boundary Problems of the Prey-predator Model (2013, methodology): “For example, it was used to describe the melting of ice in contact with water [28], the modeling of oxygen in the muscle [5], the wound healing [3], the tumor growth [4], and the spreading of species [7, 8, 10, 11, 13, 14, 16, 17, 21, 29, 30].”
- Two species nonlocal diffusion systems with free boundaries (2019, background): “In the case of local diffusion, competition and prey-predator models with free boundaries appearing in only one species were considered in [10, 12, 38], and with independent free boundaries for the two species were studied in [13, 15, 33, 34].”